Meta Solution

Hints

(don't realize what to do): When put in the correct order, the answers to the ten puzzles will should point you to the next step
(don't realize how to order): Try using the answers in the order you would have gotten them (if you had taken them all on time (optional)) .
(don't realize how to use): Try reading the correctly-ordered answers aloud.

Solution

Order the answers by the time of their respective exam:

COMPOSURE HAUSA SQUID ITCH PHI TSONGAS INGOT FORD HUMBLED OAR.

...and read the result aloud.

Answer

Compose your House's Quidditch fight song and sing it for Dumbledore